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Simplifying 28 + -1(3x + -2) = x2 + -4x Reorder the terms: 28 + -1(-2 + 3x) = x2 + -4x 28 + (-2 * -1 + 3x * -1) = x2 + -4x 28 + (2 + -3x) = x2 + -4x Combine like terms: 28 + 2 = 30 30 + -3x = x2 + -4x Reorder the terms: 30 + -3x = -4x + x2 Solving 30 + -3x = -4x + x2 Solving for variable 'x'. Combine like terms: -3x + 4x = 1x 30 + 1x + -1x2 = -4x + x2 + 4x + -1x2 Reorder the terms: 30 + 1x + -1x2 = -4x + 4x + x2 + -1x2 Combine like terms: -4x + 4x = 0 30 + 1x + -1x2 = 0 + x2 + -1x2 30 + 1x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 30 + 1x + -1x2 = 0 Factor a trinomial. (6 + -1x)(5 + x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {6, -5}
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